Projective ideals in clean orders

K. W. Roggenkamp

Compositio Mathematica (1970)

  • Volume: 22, Issue: 2, page 197-201
  • ISSN: 0010-437X

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Roggenkamp, K. W.. "Projective ideals in clean orders." Compositio Mathematica 22.2 (1970): 197-201. <http://eudml.org/doc/89049>.

@article{Roggenkamp1970,
author = {Roggenkamp, K. W.},
journal = {Compositio Mathematica},
keywords = {associative rings},
language = {eng},
number = {2},
pages = {197-201},
publisher = {Wolters-Noordhoff Publishing},
title = {Projective ideals in clean orders},
url = {http://eudml.org/doc/89049},
volume = {22},
year = {1970},
}

TY - JOUR
AU - Roggenkamp, K. W.
TI - Projective ideals in clean orders
JO - Compositio Mathematica
PY - 1970
PB - Wolters-Noordhoff Publishing
VL - 22
IS - 2
SP - 197
EP - 201
LA - eng
KW - associative rings
UR - http://eudml.org/doc/89049
ER -

References

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  1. C.W. Curtis AND I. Reiner [1] 'Representation theory of finite groups and associative algebras'. Interscience, N.Y.1962. Zbl0131.25601MR144979
  2. E.C. Dade, O. Taussky And H. Zassenhaus [2] 'On the theory of orders, in particular on the semigroup of ideal classes and genera of an order in an algebraic number field.' Math. Ann.148, (1962), 31-64. Zbl0113.26504MR140544
  3. M. Deuring [3] 'Algebren,' Springer, Berlin (1935). Zbl0011.19801MR228526
  4. S. Endo [4] 'Completely faithful modules and quasi-Frobenius algebras.' J. Math. Soc. Japan, 19, (1967), 437-456. Zbl0162.04701MR225814
  5. D.K. Faddeev [5 ] 'An introduction to the multiplicative theory of integral representation modules'. Trudy Math. Inst. Steklov, 80, (1965), 145-182. Zbl0174.07002MR206048
  6. T.Y. Lam [6] Induction theorems for Grothendieck groups and Whitehead groups of finite groups'. Ann. Scient. Ec. Norm. Sup.4e serie, t.1. (1968), 91-148. Zbl0164.02703MR231890
  7. K. Morita [7] 'Duality for modules'. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A, 6 (1958), 83-142. Zbl0080.25702MR96700
  8. K.W. Roggenkamp [8] 'Das Krull Schmidt Theorem für projective Gitter über lokalen Ringen'. Mitt. Math. Sem. Giessen80 (1969), 29-50. Zbl0165.35301MR255598
  9. [9] 'Projective modules over clean orders'. Comp. Math.21 (1969), 185 —194. Zbl0175.31801
  10. J.R. Strooker [10] 'Faithfully projective modules and clean algebras', Ph. D. thesis, Rijksuniversiteit Utrecht, (1965). Zbl0192.38002MR217115

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